Atkin-Lehner |
2+ 3- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116886j |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
359251200 |
Modular degree for the optimal curve |
Δ |
-3.8225234173891E+29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-45540006856,3740684175189014] |
[a1,a2,a3,a4,a6] |
Generators |
[217129:63838187:1] |
Generators of the group modulo torsion |
j |
-5895856113332931416918127084625/215771481613620039647232 |
j-invariant |
L |
5.8372566874703 |
L(r)(E,1)/r! |
Ω |
0.028164919011764 |
Real period |
R |
5.7570206161183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999981151 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10626p1 |
Quadratic twists by: -11 |